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Simplifying 64 + -1(3x + 16) = 3(x + 2) + x Reorder the terms: 64 + -1(16 + 3x) = 3(x + 2) + x 64 + (16 * -1 + 3x * -1) = 3(x + 2) + x 64 + (-16 + -3x) = 3(x + 2) + x Combine like terms: 64 + -16 = 48 48 + -3x = 3(x + 2) + x Reorder the terms: 48 + -3x = 3(2 + x) + x 48 + -3x = (2 * 3 + x * 3) + x 48 + -3x = (6 + 3x) + x Combine like terms: 3x + x = 4x 48 + -3x = 6 + 4x Solving 48 + -3x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 48 + -3x + -4x = 6 + 4x + -4x Combine like terms: -3x + -4x = -7x 48 + -7x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 48 + -7x = 6 + 0 48 + -7x = 6 Add '-48' to each side of the equation. 48 + -48 + -7x = 6 + -48 Combine like terms: 48 + -48 = 0 0 + -7x = 6 + -48 -7x = 6 + -48 Combine like terms: 6 + -48 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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